We're dividing 628 by 57 
Our goal is to divide 628 by 57.

Moving on to step 1:
If we divide 6 by 57, we get 0 and a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Append the next digit (2) from the dividend to 6 and continue with: 62 / 57

Step 2:
57 goes into 62 1 times with a remainder of 5.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 57 away from 62, we end up with 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 57

Advancing to step 3:
When dividing 58 by 57, we get 1 with a remainder of 1.
The next digit of our result is 1. 
Result so far: 11.0
If we subtract 57 from 58, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 4:
When dividing 10 by 57, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 11.0
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 5:
When dividing 100 by 57, we get 1 with a remainder of 43.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.01
Subtract 57 from 100 to get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Let's proceed to step 6:
The number 57 fits into 430 7 times, leaving a remainder of 31.
Use 7 as the next digit of our solution. 
Result so far: 11.017
The remainder is 31 after subtracting 399 from 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Advancing to step 7:
If we divide 310 by 57, we get 5 and a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 11.0175
The remainder is 25 after subtracting 285 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 8:
The number 57 fits into 250 4 times, leaving a remainder of 22.
Use 4 as the next digit of our solution. 
Result so far: 11.01754
If we subtract 228 from 250, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 9:
The number 57 fits into 220 3 times, leaving a remainder of 49.
The next digit of our result is 3. 
Result so far: 11.017543
Subtract 171 from 220 to get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Advancing to step 10:
The number 57 fits into 490 8 times, leaving a remainder of 34.
Use 8 as the next digit of our solution. 
Result so far: 11.0175438
Subtracting 456 from 490 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 11:
The number 57 fits into 340 5 times, leaving a remainder of 55.
The number 5 becomes the next digit in our result. 
Result so far: 11.01754385
Deduct 285 from 340 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

The final outcome is 11.01754385, with a leftover of 5.5e-08.